Relational Coherence Cosmology: Emergent Cosmic Acceleration Without a Fundamental Cosmological Constant

This work presents the Relational Coherence Cosmology (2PS), a framework in which the accelerated expansion of the universe emerges dynamically from a coherence field rather than from a fundamental cosmological constant. In this approach, matter and large-scale structure are interpreted as stabilized configurations of an underlying field governed by a relational coherence parameter λ. The evolution of this field modifies the expansion dynamics of the universe, naturally generating a transition from decelerated to accelerated expansion. Numerical integration of the model reproduces key observational benchmarks of the standard ΛCDM cosmology, including present-day density parameters (Ωm ≈ 0. 315, Ωλ ≈ 0. 685), equation of state (w ≈ −1), deceleration parameter (q ≈ −0. 53), and transition redshift (zₐcc ≈ 0. 67). The results suggest that dark-energy-like behavior may arise from an underlying relational mechanism, with the cosmological constant interpreted as an effective description of a deeper dynamical process. This work establishes a bridge between phenomenological cosmology and a broader framework of relational emergence (ToE-2PS), providing a testable and physically motivated reinterpretation of cosmic acceleration.